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Applied Advanced Calculus Lecture Notes by Jan Vrbik
This note explains following topics: Ordinary Differential Equations, First-Order Differential Equations, Second Order Differential Equations, Third and Higher-Order Linear ODEs, Sets of Linear, First-Order, Constant-Coefficient ODEs,Power-Series Solution, Vector Analysis, Complex Analysis, Complex Analysis, Complex Functions.
Author(s): Jan Vrbik
136 Pages 
Lecture notes in Introductory Calculus
This note covers the following topics: Real Numbers,Complex numbers, Sequences and their limits, Limits and Continuity, Differentiation, Applications of Differentiation, Primitives and Indefinite Integrals.
Author(s): Department of Higher Mathematics, MIPT
310 Pages
First Semester Calculus Lecture Notes
This note covers Numbers and Functions, Derivatives 1, Limits and Continuous Function, Derivatives 2, Graph Sketching and Max Min Problems, Exponentials and Logarithms, The Integral and Applications of the integral.
Author(s): NA
134 Pages
This book explains the following topics: Derivatives, Derivatives, slope, velocity, rate of change, Limits, continuity, Trigonometric limits, Derivatives of products, quotients, sine, cosine, Chain rule, Higher derivatives, Implicit differentiation, inverses, Exponential and log, Logarithmic differentiation, hyperbolic functions, Applications of Differentiation, Linear and quadratic approximations ,Curve sketching, Max-min problems, Newton’s method and other applications, Mean value theorem, Inequalities, Differentials, antiderivatives, Differential equations, separation of variables, Integration, Techniques of Integration.
Author(s): Prof. David Jerison, Massachusetts Institute of Technology
NA Pages
Calculus with Theory Lecture Notes
This note emphasizes careful reasoning and understanding of proofs. It assumes knowledge of elementary calculus. Topics covered includes: Integers and exponents, Square roots, and the existence of irrational numbers, The Riemann condition, Properties of integrals, Integrability of bounded piecewise-monotonic functions, Continuity of the square root function, Rational exponents, The fundamental theorems of calculus, The trigonometric functions, The exponential and logarithm functions, Integration, Taylor's formula, Fourier Series.
Author(s): Christine Breiner
NA Pages
Applied Advanced Calculus Lecture Notes by Jan Vrbik
This note explains following topics: Ordinary Differential Equations, First-Order Differential Equations, Second Order Differential Equations, Third and Higher-Order Linear ODEs, Sets of Linear, First-Order, Constant-Coefficient ODEs,Power-Series Solution, Vector Analysis, Complex Analysis, Complex Analysis, Complex Functions.
Author(s): Jan Vrbik
136 Pages
Calculus with Applications by Daniel Kleitman
The note is intended as a one and a half term course in calculus for students who have studied calculus in high school. It is intended to be self contained, so that it is possible to follow it without any background in calculus, for the adventurous.
Author(s): Daniel Kleitman
NA Pages
This book covers the following topics: Analytic Geometry, Instantaneous Rate Of Change: The Derivative, Rules For Finding Derivatives, Transcendental Functions, Curve Sketching, Applications of the Derivative, Integration, Techniques of Integration, Applications of Integration, Sequences and Series.
Author(s): David Guichard
320 Pages
Introduction to Calculus Notes
This note explains the following topics: Hyperbolic Trigonometric Functions, The Fundamental Theorem of Calculus, The Area Problem or The Definite Integral, The Anti-Derivative, Optimization, L'Hopital's Rule, Curve Sketching, First and Second Derivative Tests, The Mean Value Theorem, Extreme Values of a Function, Linearization and Differentials, Inverse Trigonometric Functions, Implicit Differentiation, The Chain Rule, The Derivative of Trig. Functions, The Differentiation Rules, Limits Involving Infinity, Asymptotes, Continuity, Limit of a function and Limit Laws, Rates of Change and Tangents to Curves.
Author(s): Nakia Rimmer
NA Pages
In this book, much emphasis is put on explanations of concepts and solutions to examples. Topics covered includes: Sets, Real Numbers and Inequalities, Functions and Graphs, Limits, Differentiation, Applications of Differentiation, Integration, Trigonometric Functions, Exponential and Logarithmic Functions.
Author(s): S.K. Chung
292 Pages
This note explains the following topics: Functions and Their Graphs, Trigonometric Functions, Exponential Functions, Limits and Continuity, Differentiation, Differentiation Rules, Implicit Differentiation, Inverse Trigonometric Functions, Derivatives of Inverse Functions and Logarithms, Applications of Derivatives, Extreme Values of Functions, The Mean Value Theorem, Monotone Functions and the First Derivative Test, Integration, Sigma Notation and Limits of Finite Sums, Indefinite Integrals and the Substitution Method.
Author(s): Bob Gardner
NA Pages
Advanced Calculus Lecture Notes for Mathematics
These notes are not intended as a textbook. It is hoped however that they will minimize the amount of note taking activity which occupies so much of a student’s class time in most courses in mathmatics. Topics covered includes: The Real Number system & Finite Dimensional Cartesian Space, Limits, Continuity, and Differentiation, Riemann Integration, Differentiation of Functions of Several Variables.
Author(s): James S. Muldowney
189 Pages
The approach followed is quite different from that of standard calculus texts. We use natural, but occasionally unusual, definitions for basic concepts such as limits and tangents. Topics covered includes: Sets: Language and Notation, The Extended Real Line, Suprema, Infima, Completeness, Neighborhoods, Open Sets and Closed Sets, Trigonometric Functions, Continuity, The Intermediate Value Theorem, Inverse Functions, Tangents, Slopes and Derivatives, Derivatives of Trigonometric Functions, Using Derivatives for Extrema, Convexity, Integration Techniques.
Author(s): Ambar N. Sengupta
330 Pages
This lecture note explains Differential and Integral calculus of functions of one variable, including trigonometric functions.
Author(s): Sigurd Angenent
134 Pages
Lecture Notes in Calculus (PDF 206P)
This is useful notes for Calculus. This notes contain Real numbers, Functions, Derivatives, Integration theory and Sequences
Author(s): Raz Kupferman
206 Pages
Lecture Notes on the Lambda Calculus (PDF 106P)
This notes contains the details about The untyped lambda calculus, The Church-Rosser Theorem, Combinatory algebras, The Curry-Howard isomorphism, Polymorphism, Weak and strong normalization, Denotational semantics of PCF
Author(s): Peter Selinger
106 Pages
Calculus Made Easy has long been the most popular calculus primer, and this major revision of the classic math text makes the subject at hand still more comprehensible to readers of all levels. This is a book that explains the philosophy of the subject in a very simple manner, making it easy to understand even for people who are not proficient in math.
Author(s): Silvanus P. Thompson
292 Pages